Basic electrostatics (geometry help)

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SUMMARY

The discussion centers on the application of cosine in calculating the electric field (E) due to multiple point charges in electrostatics. The user initially questions the necessity of the cosine function in determining the horizontal components of the electric field vectors. It is clarified that the cosine is essential for isolating the horizontal components of the electric field, as the vertical components cancel each other out due to symmetry in the charge distribution. The conversation emphasizes the importance of understanding vector components in electrostatic calculations.

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  • Understanding of basic electrostatics principles
  • Familiarity with vector addition in physics
  • Knowledge of trigonometric functions, particularly cosine
  • Ability to interpret geometric configurations of point charges
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  • Explore the principles of symmetry in charge distributions
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geft
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Here's the problem: http://i.imgur.com/dS7ZH.jpg

I don't understand why the cosine has to be there. My geometry is a bit rusty, but wouldn't it be enough without the cosine part?
 
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E is the vector sum of the 4 E's. The vertical component of each Eo at the point of interest is canceled out by the vertical component there due to an identical charge at one other vertex, leaving only horizontal components to be added. The cos gives you that horizontal component of each E.
 
Ah, you're right. Thanks!
 

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